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Finding the Third Proportional to 10,098 and 14,025

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Solution

The third proportional to 10,098 and 14,025 is: 19,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 14,025 = 14,025 : x
  2. Step 2: Convert to fraction form
    10,098/14,025 = 14,025/x
  3. Step 3: Cross multiply
    10,098x = 14,025 × 14,025
  4. Step 4: Simplify right side
    10,098x = 196,700,625
  5. Step 5: Solve for x
    x = 196,700,625/10,098
  6. Step 6: Final answer
    x = 19,479.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.